Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-28899.6-c
Conductor 28899.6
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).

Elliptic curves in class 28899.6-c over \(\Q(\sqrt{-3}) \)

Isogeny class 28899.6-c contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
28899.6-c1 \( \bigl[0\) , \( -a - 1\) , \( a\) , \( -326 a - 5\) , \( 2908 a - 1400\bigr] \)
28899.6-c2 \( \bigl[0\) , \( -a - 1\) , \( a\) , \( 184 a + 22\) , \( -437 a + 1099\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph